All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Friends Macros Groups Pages
Classes | Namespaces | Functions | Variables
Epsilon.h File Reference

Numerical epsilon value for floating point data types. More...

#include <blaze/util/constraints/FloatingPoint.h>
#include <blaze/util/Limits.h>

Go to the source code of this file.

Classes

class  blaze::NegativeEpsilon< E >
 Negative epsilon value for floating point data types.The NegativeEpsilon class is a wrapper class around the functionality of the blaze::Limits class. It represents the negative smallest difference between two values of any floating point data type. In order to assign a negative epsilon value, the Epsilon class can be implicitly converted to the three built-in floating point data types float, double and long double. More...
 
class  blaze::Epsilon
 Numerical epsilon value for floating point data types.The Epsilon class is a wrapper class around the functionality of the blaze::Limits class. It represents the smallest difference between two values of any floating point data type. In order to assign an epsilon value, the Epsilon class can be implicitly converted to the three built-in floating point data types float, double and long double.
In order to handle epsilon values conveniently, the global Epsilon instance blaze::epsilon is provided, which can be used wherever a floating point data type is required. More...
 

Namespaces

namespace  blaze
 Namespace of the Blaze C++ math library.
 

Functions

template<typename E , typename T >
bool blaze::operator<= (const NegativeEpsilon< E > &, const T &rhs)
 Less-or-equal-than comparison between a NegativeEpsilon object and a floating point value.
 
template<typename E , typename T >
bool blaze::operator<= (const T &lhs, const NegativeEpsilon< E > &)
 Less-or-equal-than comparison between a floating point value and a NegativeEpsilon object.
 
template<typename E , typename T >
bool blaze::operator>= (const NegativeEpsilon< E > &, const T &rhs)
 Greater-or-equal-than comparison between a NegativeEpsilon object and a floating point value.
 
template<typename E , typename T >
bool blaze::operator>= (const T &lhs, const NegativeEpsilon< E > &)
 Less-or-equal-than comparison between a floating point value and a NegativeEpsilon object.
 
template<typename T >
bool blaze::operator<= (const Epsilon &, const T &rhs)
 Less-or-equal-than comparison between an Epsilon object and a floating point value.
 
template<typename T >
bool blaze::operator<= (const T &lhs, const Epsilon &)
 Less-or-equal-than comparison between a floating point value and an Epsilon object.
 
template<typename T >
bool blaze::operator>= (const Epsilon &, const T &rhs)
 Greater-or-equal-than comparison between an Epsilon object and a floating point value.
 
template<typename T >
bool blaze::operator>= (const T &lhs, const Epsilon &)
 Less-or-equal-than comparison between a floating point value and an Epsilon object.
 
NegativeEpsilon operators
template<typename E , typename T >
bool blaze::operator== (const NegativeEpsilon< E > &, const T &rhs)
 Equality comparison between a NegativeEpsilon object and a floating point value.
 
template<typename E , typename T >
bool blaze::operator== (const T &lhs, const NegativeEpsilon< E > &)
 Equality comparison between a floating point value and a NegativeEpsilon object.
 
template<typename E , typename T >
bool blaze::operator!= (const NegativeEpsilon< E > &, const T &rhs)
 Inequality comparison between a NegativeEpsilon object and a floating point value.
 
template<typename E , typename T >
bool blaze::operator!= (const T &lhs, const NegativeEpsilon< E > &)
 Inequality comparison between a floating point value and a NegativeEpsilon object.
 
template<typename E , typename T >
bool blaze::operator< (const NegativeEpsilon< E > &, const T &rhs)
 Less-than comparison between a NegativeEpsilon object and a floating point value.
 
template<typename E , typename T >
bool blaze::operator< (const T &lhs, const NegativeEpsilon< E > &)
 Less-than comparison between a floating point value and a NegativeEpsilon object.
 
template<typename E , typename T >
bool blaze::operator> (const NegativeEpsilon< E > &, const T &rhs)
 Greater-than comparison between a NegativeEpsilon object and a floating point value.
 
template<typename E , typename T >
bool blaze::operator> (const T &lhs, const NegativeEpsilon< E > &)
 Greater-than comparison between a floating point value and a NegativeEpsilon object.
 
Epsilon operators
template<typename T >
bool blaze::operator== (const Epsilon &, const T &rhs)
 Equality comparison between an Epsilon object and a floating point value.
 
template<typename T >
bool blaze::operator== (const T &lhs, const Epsilon &)
 Equality comparison between a floating point value and an Epsilon object.
 
template<typename T >
bool blaze::operator!= (const Epsilon &, const T &rhs)
 Inequality comparison between an Epsilon object and a floating point value.
 
template<typename T >
bool blaze::operator!= (const T &lhs, const Epsilon &)
 Inequality comparison between a floating point value and an Epsilon object.
 
template<typename T >
bool blaze::operator< (const Epsilon &, const T &rhs)
 Less-than comparison between an Epsilon object and a floating point value.
 
template<typename T >
bool blaze::operator< (const T &lhs, const Epsilon &)
 Less-than comparison between a floating point value and an Epsilon object.
 
template<typename T >
bool blaze::operator> (const Epsilon &, const T &rhs)
 Greater-than comparison between an Epsilon object and a floating point value.
 
template<typename T >
bool blaze::operator> (const T &lhs, const Epsilon &)
 Greater-than comparison between a floating point value and an Epsilon object.
 

Variables

const Epsilon blaze::epsilon
 Global Epsilon instance.The blaze::epsilon instance can be used wherever a floating point data type is expected. It is implicitly converted to the corresponding floating point data type and represents the smallest possible difference between two values of the according data type.
 

Detailed Description

Numerical epsilon value for floating point data types.

Copyright (C) 2011 Klaus Iglberger - All Rights Reserved

This file is part of the Blaze library. This library is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3, or (at your option) any later version.

This library is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with a special exception for linking and compiling against the Blaze library, the so-called "runtime exception"; see the file COPYING. If not, see http://www.gnu.org/licenses/.